Swartz, Charles Integrability for the Dobrakov integral. (English) Zbl 0506.28005 Czech. Math. J. 30(105), 640-646 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 Documents MSC: 28B05 Vector-valued set functions, measures and integrals 46G10 Vector-valued measures and integration Keywords:integration for vector-valued functions with respect to operator-valued measures; Dobrakov integral; weak integral; Pettis integral Citations:Zbl 0215.201 PDFBibTeX XMLCite \textit{C. Swartz}, Czech. Math. J. 30(105), 640--646 (1980; Zbl 0506.28005) Full Text: EuDML References: [1] R. Bartle A.: General bilinear vector integral. Studia Math., 15 (1956), 337-352. · Zbl 0070.28102 [2] J. K. Brooks: On the Gelfand-Pettis integral and unconditionally convergent series. Bull. Polish. Acad. Sci. 17 (1969), 809-813. · Zbl 0205.13402 [3] J. K. Brooks: Representation of weak and strong integrals in Banach spaces. Proc. Nat. Acad. Sci. U.S.A. 63 (1969), 266-270. · Zbl 0186.20302 [4] S. D. Chatterji: Sur l’integrabilité de Pettis. Math. Zeit., 136 (1974), 53-58. · Zbl 0264.28007 [5] J. Diestel, J. J. Uhl: Vector measures. Amer. Math. Soc., Math. Surveys *15, 1977. · Zbl 0369.46039 [6] I. Dobrakov: On representation of linear operators on \(C_0 (T, X)\). Czech. Math. J., 21 (1971), 13-30. · Zbl 0225.47018 [7] I. Dobrakov: On integration in Banach spaces I. Czech. Math. J., 20 (1970), 511-536. · Zbl 0215.20103 [8] I. Dobrakov: On integration in Banach spaces II. Czech. Math. J., 20 (1970), 680-695. · Zbl 0224.46050 [9] N. Dunford, J. Schwartz: Linear operators. Interscience, N.Y., 1958. · Zbl 0084.10402 [10] H. Garnir M. de Wilde, J. Schmets: Analyse Fonctionelle II. Birkhäuser Verlag, 1972. [11] D. Lewis: Integration with respect to vector measures. Pacific J. Math., 33 (1970), 157-165. · Zbl 0195.14303 [12] D. Lewis: On integrability and summability in vector spaces. Illinois J. Math., 16 (1972), 294-307. · Zbl 0242.28008 [13] C. Swartz: Integration with respect to vector measures. Bull. Royal Soc. Liège, 45 (1976), 76-79. · Zbl 0328.46040 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.